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This is a lab report authored for ME 345W Instrumentation which dealt with displacement sensors.
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1 | P a g e
Lab 4: Displacement
Sensors
P e n n s y l v a n i a S t a t e U n i v e r s i t y
M E 3 4 5 W
S e c t i o n 0 0 1
4 / 7 / 2 0 1 4
Joseph R. Felice
Table of Contents
Abstract ........................................................................................................................... i
Introduction ................................................................................................................... 1
Results and Discussion ................................................................................................ 3
Station A ...................................................................................................................... 3
Station B ...................................................................................................................... 4
Station C ...................................................................................................................... 5
Station E ...................................................................................................................... 6
Station F ...................................................................................................................... 7
Conclusion ..................................................................................................................... 8
References ..................................................................................................................... 9
Sample Calculations Appendix .................................................................................. 10
Graph Appendix .......................................................................................................... 11
Table Appendix ........................................................................................................... 13
i
Abstract
The purpose of this laboratory experiment is to test the various different types of
displacement sensors. Specifically, two different classifications of sensors known as
contact and non-contact sensors will be utilized in this study. Five different lab stations
labeled A, B, C, E and F will each have one displacement sensor selected from the
aforementioned categories. Stations B and E will house contact sensors whereas
stations A, C and F will be equipped with non-contact sensors. The latter stations will
also be accompanied by various samples of wood, steel and aluminum. These samples
are to be used in testing the responsiveness of the non-contact sensors to different
types of materials. The responsiveness of the contact sensors at stations B and E will
be analyzed through the displacement of the rod with respect its cylindrical shell. At
station E the speed at which the rod is displaced in the cylindrical shell will also be
observed at both slow and fast speeds. Tektronix DSO2002 oscilloscopes will measure
output voltage signals for the displacements of the wood, steel and aluminum samples
along with the rod displacements for the non-contact and contact sensors, respectively.
1 | P a g e
Introduction
Displacement sensors are widely used throughout the engineering profession
both as an educational tool and in industry. Contact sensors are electromechanical
devices which require direct physical contact with an object in order to respond to its
presence. An example of a contact sensor is a switch. Limit switches are the most
common in industrial settings [1]. The most ordinary application for a limit switch is as a
presence sensor. There are three different categories of limit switches which are push
on button, push on flexible paddle and roller. Other sensors which are often used in
industry are classified as non-contact sensors.
Usually, non-contact sensors are transducers. Comprised of control circuits,
these transducers are able to operate as switches. There are three typical types of non-
contact sensors. These types of sensors are inductive proximity, capacitive proximity
and optical proximity sensors [1].
An inductive proximity sensor can only recognize electrically conductive
materials. A capacitive proximity sensor responds to the presence of mostly any
material provided such an object can be electrically charged. Optical proximity sensors
rely upon the reflective qualities of materials brought into the range of its light beam.
Target materials which are reflective will shine the light emitted from the optical sensor
back to that unit of the sensor, thus registering the presence of an object [1]. Another
type of sensor often used in industry is a contact sensor. A commonly used type of
contact sensor is the Linear Variable Differential Transformer (LVDT).
A mechanical displacement which occurs by the movement of a rod through a
casing lined with primary and secondary coils accompanied with insulation is the main
operation of an LVDT. The rod is non-magnetic and consists of a magnetic nickel-iron
core at its tip. This rod pushes the core through the center of the opening in the casing
sweeping over the coil configuration, hence yielding a linear function for the output
voltage versus displacement plot [1].
Another special type of sensor, called the Hall Effect sensor, operates in such a
way that the level of its responsiveness is dependent upon the proximity of a magnet
with respect to the actual body of the sensor. At first, the displacement of this magnet is
adjusted through the motion of a lever arm that brings the magnet in closer toward the
2 | P a g e
Hall Effect sensor. The current in the sensor shifts to one end as the magnet
approaches the body of the sensor. This shift in current pattern is detected by contacts
at both sides of the sensor which recognize that the current is more heavily
concentrated on one end. The output voltage reading on a Hall Effect sensor is
proportional to the proximity of the magnet with the body of the sensor [1].
The applications of sensors in industry vary depending upon which purpose their
function is to serve in regard to a specific task. For instance, heavy-duty limit switches
can be used as a safety mechanism for operating machinery to protect the machinist
from harm in the event of a malfunction [2]. LVDT sensor are used in a wide variety of
applications including but not limited to aircraft, spacecraft, satellite as well as nuclear
installations [3].
3 | P a g e
Results and Discussion
Station A
Aluminum Samples:
Range: 5.8 Volts
Supplied Voltage: 24 Volts
Sensitivity: 1.93 Volts/inch
Displacement: 3 inches
Sensor Type: Non-contact
Signal Type: Continuous
Image 1: Shown above is the voltage output for the aluminum bar. Displayed to the
right of the image are signal related measurements.
Range: 5.7 Volts
Supplied Voltage: 24 Volts
Sensitivity: 1.9 Volts/inch
Displacement: 3 inches
Sensor Type: Non-contact
Signal Type: Continuous
Image 2: Featured here is the voltage output for the aluminum plate. Displayed to the
right of the image are signal related measurements.
4 | P a g e
Steel Sample:
Range: 5.8 Volts
Supplied Voltage: 24 Volts
Sensitivity: 1.93 Volts/inch
Displacement: 3 inches
Sensor Type: Non-contact
Signal Type: Continuous
Image 3: Above is a display of the voltage output for the steel sample. Displayed to
the right of the image are signal related measurements.
Wood Sample:
The wood sample at this station generated no output voltage reading on the
DSO2002 when placed in proximity of the sensor despite several adjustments made to
the VOLTS/DIV and SEC/DIV knobs. Various different displacements were tested,
each yielding no results. A source voltage of 24 volts was used for each trial.
Station B
Contact Sensor:
Range: 120 Volts
Supplied Voltage: 6 Volts
Sensitivity: 60 Volts/inch
Displacement: 2 inches
Sensor Type: Contact
Signal Type: Continuous
Image 4: Above is a display of the voltage output for the contact sensor.
5 | P a g e
Station C
Aluminum Sample:
Range: 3.9 Volts
Supplied Voltage: 24 Volts
Sensitivity: 1.01 Volts/inch
Displacement: 3.88 inches
Sensor Type: Non-contact
Signal Type: Continuous
Image 5: Above is a display of the voltage output for the aluminum plate.
Wood Sample:
Range: 4 Volts
Supplied Voltage: 24 Volts
Sensitivity: 1.11 Volts/inch
Displacement: 3.6 inches
Sensor Type: Non-contact
Signal Type: Continuous
Image 6: Above is a display of the voltage output for the wood sample
6 | P a g e
Station E
Contact Sensor:
Range: 10 Volts
Supplied Voltage: 0 Volts
Sensitivity: 4 Volts/inch
Displacement: 2.5 inches
Estimated Average Speed: 0.625
inches/second
Sensor Type: Contact
Signal Type: Continuous
Image 7: Above is a display of the voltage output for the contact sensor at slow speed.
For this contact sensor there is no supplied voltage since the sliding motion of
the rod in the cylinder by itself is what is responsible for generating the output voltage
signal. Consequently, there is no sensitivity associated with this sensor. Sliding the rod
in and out at a slow speed estimated at 0.625 inches/second generates a discrete
output signal.
Range: 66 Volts
Supplied Voltage: 0 Volts
Sensitivity: 26.4 Volts/inch
Displacement: 2.5 inches
Average Speed: 1.25 inches/second
Sensor Type: Contact
Signal Type: Continuous
Image 8: Above is a display of the voltage output for the contact sensor at fast speed
7 | P a g e
As aforementioned, since no voltage is supplied to this sensor there is an absence
of any sensitivity factor related to the output signal. Sliding the rod at a fast speed
estimated at 1.25 inches/second generates a continuous output signal.
Station F
Steel Sample:
Range: 20 Volts
Supplied Voltage: 24 Volts
Sensitivity: 320 Volts/inch
Displacement: 0.0625 inches
Sensor Type: Non-contact
Signal Type: Discrete
Image 9: Above is a display of the voltage output for the steel sample.
Wood Sample:
The wood sample at this station produced no output voltage signal on the
DSO2002 when placed in proximity of the sensor despite several adjustments made to
the VOLTS/DIV and SEC/DIV knobs. Various different displacements were tested,
each yielding no results. A source voltage of 24 volts was maintained during these
trials.
8 | P a g e
Conclusion
In this lab both contact and non-contact sensors were utilized to enhance the
understanding of their various industrial applications. The non-contact sensors at
stations A, C and F were accompanied by wood, steel and aluminum samples. The
capacitive sensor at station A recognized the presence of both the steel and aluminum
samples, however, it is apparent that it registered the aluminum in less time than it did
the steel for a displacement of 3 inches.
Steel and aluminum samples at Station A generated continuous waveforms,
hence smooth variations in magnitude. Each of these samples reached the maximum
capability of the capacitive sensor output causing the displayed signal to level out at the
sensor’s saturation point of 5.8 volts. Since wood cannot provide the electrical charge
needed for recognition by a capacitive sensor no output voltage signal was generated.
The non-contact optical sensor at station C recognized both aluminum and wood
samples in nearly the same amount of time. The displacement for the aluminum
sample with respect to the sensor was 3.88 inches and for the wood sample was 3.6
inches. Both yielded similar output signals, 3.9 Volts and 4 Volts, for aluminum and
wood, respectively.
The inductive proximity sensor at station F registered the presence of the steel
sample but like station A did not recognize the wood sample. The displacement of the
steel from the sensor was the closest it was for any of the target objects with respect to
the other sensors in this lab at 0.0625 inches. This generated a discrete waveform.
The contact sensor at station B was an LVDT. At a displacement of 2 inches to
the right the rod yielded an output voltage signal of 60 Volts. Similarly, at a
displacement of 2 inches to the left as the rod was going further in the casing an output
voltage of -60 Volts was generated.
The LVDT contact sensor at station E required no source voltage since it relied
solely on induction to generate an output voltage signal. As the rod traveled through the
casing slowly at an estimated speed of 0.625 inches/second a continuous waveform
was produced. When the rod traveled fast through the casing at an estimated speed of
1.25 inches/second a continuous waveform was generated with peak-to-peak output
voltage amplitude (range) of 66 Volts.
9 | P a g e
References
[1] ME 345W Lecture Notes, Spring 2014, “Displacement Sensors,” Slides 1-12. Penn
State University, Angel Course Webpage.
[2] Grainger, 2014, “Limit/Interlock Switches,” from
http://www.grainger.com/category/limit-interlock-switches/switches/electrical/ecatalog/N-
8gd.
[3] AST Macro Sensors, 2014, “Heat Build Platform,” from
http://www.macrosensors.com/lvdt_tutorial.html#.
10 | P a g e
Sample Calculations Appendix
Station A Aluminum Bar Sensitivity
5.8 Volts/3 inches = 1.93 Volts/inch
Station E Estimated Average Speed Calculations
Slow
2.5 inches/4 seconds = 0.625 inches/second
Fast
2.5 inches/2 seconds = 1.25 inches/second
11 | P a g e
Graph Appendix
Station A
Aluminum Bar/Plate Samples:
Graph 1: Shown above is the plot of voltage output vs. displacement for the aluminum bar sample at station A with the equation of the line displayed next to the plotted line.
Graph 2: Above is the plot of output voltage vs. displacement for the aluminum plate sample at station A with the equation for the function displayed next to the line.
y = -1.9333x
-7
-6
-5
-4
-3
-2
-1
0
0 0.5 1 1.5 2 2.5 3 3.5
Capacitive Sensor Output
(volts)
Displacement (inches)
Voltage Output vs. Displacement
y = -1.9x
-6
-5
-4
-3
-2
-1
0
0 0.5 1 1.5 2 2.5 3 3.5
Capacitive Sensor Output
(volts)
Displacement (inches)
Voltage Output vs. Displacement
12 | P a g e
Steel Sample:
Graph 3: Featured above is the graph of output voltage vs. displacement for the steel sample at station A along with the equation for the line.
Graph 4: Featured above is the graph of output voltage vs. displacement for LVDT sensor sample at station B along with the equation for the line. Negative values for inches indicated that the rod was being moved leftward into the casing whereas positive values indicate the rod was being moved to the right out of the casing.
y = -1.9333x
-7
-6
-5
-4
-3
-2
-1
0
0 0.5 1 1.5 2 2.5 3 3.5
Capacitive Sensor Output
(volts)
Displacement (inches)
Voltage Output vs. Displacement
y = 30x
-80
-60
-40
-20
0
20
40
60
80
-3 -2 -1 0 1 2 3
LVDT Output (volts)
Displacement (inches)
Voltage Ouput vs. Displacement
13 | P a g e
Table Appendix
Station A:
Dimension Measured Value (inches)
Length 6 Width 1 Height 0.121
Table 1: Featured here are the dimensions for the aluminum bar sample. The height
was measured using a digital micrometer.
Dimension Measured Value (inches)
Length 4.5 Width 2.5 Height 0.035
Table 2: Shown above are the dimensions for the aluminum plate sample. The height
was measured using a digital micrometer.
Dimension Measured Value (inches)
Length 4 Width 3 Height 0.054
Table 3: Shown above are the dimensions for the steel sample. The height was
measured using a digital micrometer.
Dimension Measured Value (inches)
Length 4 Width 3.75 Height 0.405
Table 4: Shown above are the dimensions for the wood sample. The height was
measured using a digital micrometer.
14 | P a g e
Station C:
Dimension Measured Value (inches)
Length 4 Width 3 Height 0.121
Table 5: Shown above are the dimensions for the aluminum plate sample. The height
was measured using a digital micrometer.
Dimension Measured Value (inches)
Length 4 Width 3.75 Height 0.4
Table 6: Shown above are the dimensions for the wood sample. The height was
measured using a digital micrometer.
Station F:
Dimension Measured Value (inches)
Length 4.875 Width 3.875 Height 0.125
Table 7: Featured here are the dimensions for the steel plate sample. The height was
measured using a digital micrometer.
Dimension Measured Value (inches)
Length 4 Width 4 Height 0.467
Table 8: Featured here are the dimensions for the square wood sample. The height
was measured using a digital micrometer.